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Finding the Fourth Proportional to 8,073, 11,140.74 and 5,278.50

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Solution

The fourth proportional to 8,073, 11,140.74 and 5,278.50 is: 7,284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073 : 11,140.74 = 5,278.50 : x
  2. Step 2: Convert to fraction form
    8,073/11,140.74 = 5,278.50/x
  3. Step 3: Cross multiply
    8,073x = 11,140.74 × 5,278.50
  4. Step 4: Simplify right side
    8,073x = 58,806,396.09
  5. Step 5: Solve for x
    x = 58,806,396.09/8,073
  6. Step 6: Final answer
    x = 7,284.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.